Short Answer TypeA coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
A box contains 1 red and 3 identical white balls. One ball is drawn from the box, its colour is noted, it is placed back in the box and then a second ball is drawn. Write the sample space of the experiment.
Long Answer TypeA box contains 5 slips marked 1, 2, 3, 4 and 5. Write the sample space of the experiment, when
(a) one slip is drawn.
(b) one slip is drawn, is number noted and replaced, then a second slip is drawn.
(c) one slip is drawn and not replaced, then a second slip is drawn.
Solution not provided.
Ans. (a) S = {1, 2, 3, 4, 5}
(b) S= {(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (4,1),
(4,2), (4,3), (4,4), (4,5), (5,1), (5,2), (5,3), (5,4), (5,5)}
(c) S = {(1,2), (1,3), (1,4), (1,5), (2, 1), (2,3), (2, 4), (2,5), (3,1), (3,2), (3,4), (3,5), (4,1), (4,2), (4,3), (4,5), (5,1) (5,2), (5,3), (5,4)}
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